Transformation properties of wave functions of a two-dimensional harmonic oscillator

Authors
Mazets, IE
Citation
Ie. Mazets, Transformation properties of wave functions of a two-dimensional harmonic oscillator, TECH PHYS, 46(2), 2001, pp. 154-157
Citations number
7
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
TECHNICAL PHYSICS
ISSN journal
10637842 → ACNP
Volume
46
Issue
2
Year of publication
2001
Pages
154 - 157
Database
ISI
SICI code
1063-7842(2001)46:2<154:TPOWFO>2.0.ZU;2-K
Abstract
A transformation formula for wave functions of type psi (n1)(x(1))psi (n2)( x(2)), where psi (n) is the eigenfunction of a harmonic oscillator for the nth energy level, was found for an arbitrary rotation of the (x(1), x(2)) C artesian system. By way of example, matrix elements for contact interaction of two particles in an external harmonic potential field were calculated. (C) 2001 MAIK "Nauka/Interperiodica".